Not really. Some people use them that way but it's not quite correct. For example, you can do yokomenuchi shihonage with an irimi entry and then continue with either the omote or ura variation of shihonage.

My understanding is that omote and ura typically refer to "in front" or "in back" variations of a waza, while irimi and tenkan refer to your movement relative to your partner. Sometimes they coincide but not always.

Edit: it's also worth noting that some would say that tenkan is (or should be) always preceded with irimi.